Question

Need help quick! thank you to whoever helps and will mark brainilist.

A line contains the points R (-5, -3) S (-1, -1) and T (x, 3). Solve for x. Be sure to show and explain all work.

Answer 1

x = 7

T(7, 3)

Explanation:

The slope of the line is the same everywhere, so the ratio of y-differences to x-differences is constant.

Differences between R and S:

S -R = (-1, -1) -(-5, -3) = (-1+5, -1+3) = (4, 2)

T -R = (x, 3) -(-5, -3) = (x+5, 3+3) = (x+5, 6)

Then the ratios of y-differences to x-differences are ...

2/4 = 6/(x+5)

2(x+5) = 4(6) . . . . cross multiply

2x +10 = 24 . . . . . simplify

2x = 14 . . . . . . . . subtract 10

x = 7 . . . . . . . . . . divide by 2

Point T is (7, 3). . . . . . . . (x=7)